The document provides a review of topics related to solving systems of equations and inequalities including: 1) There are two methods for solving systems - elimination or substitution. An example problem is worked through using elimination. 2) When graphing systems of inequalities, each line must be drawn and labeled as above, below, or dashed before moving to the next line. 3) Word problems can be modeled with systems and solved, such as determining the number of chickens and pigs given the total number of legs.

4. How many solutions does the system have:
12x - 8y = 20
3x - 2y = 5
Which point is a solution to
the following system?
2y – x = - 4
2y – 3x = - 8
A) (- 4, - 1) B) (3, 1) C) (0, - 3) D) (4, 3) E) None
Test Review: Systems of Equations & Inequalities
The Number of solutions

5. Test Review: Graphing Systems of Equations & Inequalities
1) Writing the system given the graph:
Write the systems of
equations shown.

6. Write the system of inequalities that produced this graph.

7. Test Review: Graphing Systems of Equations & Inequalities
2) Graphing the system
to find a solution:
Graph the system
of equations:
𝒙 + 𝒚 = 𝟔
𝒙 − 𝒚 = 𝟒
The first step is always....
y = -x + 6
y = x - 4
The solution is... (5, 1)

8. Test Review: Systems of Inequalities, Graphing
2 4
2 12
x y
x y
   

 
2
1
m  4b  
1
2
m   6b 
Dashed
Above
Solid Below
2 4x y    2 12x y 
2 2x x 
2 4y x 
x x 
2 12y x  
2 2 2
1
6
2
y x  
Draw the solution to the first line
before starting the next line!!!!!

9. Test Review: Systems Applications
There are 13 animals in the barn. Some are chickens
and some are pigs. There are a total of 40 legs.
How many of each animal are there?
The sum of three numbers is 14. The largest is 4
times the smallest. The sum of the smallest and two
times the largest is 18. Find the numbers. ( In the
form, (largest, middle, smallest number) ).

10. Test Review: Solving by Elimination or Substitution
3x – y = 4
x = 4y - 17